There's a short story in which the Devil makes Capablanca play against himself using this trick with Capablanca' soul at stake. Capablanca turns the tables and tricks the devil by arriving at a position where the Devil sees an "obvious" move that "can't lose" and "wins instantly." The Devil can't resist, and instead of waiting for Capablanca to move, he goes ahead and makes the "winning" move. Of course it's a trap and so Capablanca wins both games and keeps his soul.
Why doesn't every team match end in a draw?

Yes, as a last resort, this is an option. However, I consider the method I proposed as cheating anyway, because the rules say: "Fixing games results (through intentional loss or multiple accounts) is also cheating." and what I described falls under that rule.
Oh. I see. You don't respond until he responds on the other board with the opposite color.